Interacting quintessence cosmology from Noether symmetries: comparing theoretical predictions with observational data
Ester Piedipalumbo, Stefano Vignolo, Pasquale Feola, Salvatore, Capozziello

TL;DR
This paper develops exact solutions in scalar-tensor gravity with interacting quintessence, using Noether symmetries, and compares the theoretical predictions with observational data to validate the model.
Contribution
It introduces a method to derive exact cosmological solutions with interacting scalar fields using Noether symmetries and tests their compatibility with observational data.
Findings
Solutions reproduce accelerated universe expansion
Models are compatible with SNeIa Pantheon data
Results align with gamma ray bursts and Hubble measurements
Abstract
In the framework of scalar-tensor gravity, we consider non-flat interacting quintessence cosmology where a scalar field is interacting with dark matter. Such a scalar field can be a standard or a phantom one. We use the Noether Symmetry Approach to obtain general exact solutions for cosmological equations and to select scalar-field self-interaction potentials. It turns out that the found solutions can reproduce the accelerated expansion of the Universe, and are compatible with observational dataset, as the SNeIa Pantheon data, gamma ray bursts Hubble diagram, and direct measurements of the Hubble parameter.
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